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78
Voted
ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
15 years 4 months ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
MOC
2011
14 years 9 days ago
Calculating cyclotomic polynomials
Abstract. We present three algorithms to calculate Φn(z), the nth cyclotomic polynomial. The first algorithm calculates Φn(z) by a series of polynomial divisions, which we perfo...
Andrew Arnold, Michael B. Monagan
SC
2009
ACM
15 years 2 months ago
GPU based sparse grid technique for solving multidimensional options pricing PDEs
It has been shown that the sparse grid combination technique can be a practical tool to solve high dimensional PDEs arising in multidimensional option pricing problems in finance...
Abhijeet Gaikwad, Ioane Muni Toke
77
Voted
CN
2007
141views more  CN 2007»
14 years 9 months ago
Identifying lossy links in wired/wireless networks by exploiting sparse characteristics
In this paper, we consider the problem of estimating link loss rates based on end-to-end path loss rates in order to identify lossy links on the network. We first derive a maximu...
Hyuk Lim, Jennifer C. Hou
ISSAC
2009
Springer
121views Mathematics» more  ISSAC 2009»
15 years 4 months ago
Faster real feasibility via circuit discriminants
We show that detecting real roots for honestly n-variate (n + 2)-nomials (with integer exponents and coefficients) can be done in time polynomial in the sparse encoding for any ...
Frédéric Bihan, J. Maurice Rojas, Ca...